Q5. - Algebra 2

Question

Find the slope of the line that passes through each pair of points.

5. $(-1,0),\left(3,-2\right)$

Step-by-Step Solution

Answer

The slope of the line is $-\frac{1}{2}$.

Step 1- Given information

A pair of points $(-1,0),(3,-2)$.

Step 2- Formula used

The slope formula of a line is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where, m is slope of the line which is passes through the points $(x_1,y_1),(x_2,y_2)\text{ and }{x}_1\ne x_2.$

Step 3- To find the slope

Here, $(x_1,y_1)=(-1,0){\text{ and (x}}_2,y_2)=(3,-2)$

So,  $m=\frac{y_2-y_1}{x_2-x_1}$

$\begin{array}{l}\Rightarrow m=\frac{-2-0}{3+1}\\ \Rightarrow m=\frac{-2}{4}\\ \Rightarrow m=-\frac{1}{2}\end{array}$

Hence, the slope of the line is $-\frac{1}{2}$.